Group of Dirichlet characters

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{16} + 21 x^{14} + 210 x^{12} + 1104 x^{10} + 3329 x^{8} + 5124 x^{6} + 4320 x^{4} + 1536 x^{2} + 256 \)

$\times$	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(1, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(197, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 239, ·)\)
\(\chi_{ 420 }(71, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 197, ·)\)
\(\chi_{ 420 }(349, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 223, ·)\)
\(\chi_{ 420 }(223, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 181, ·)\)
\(\chi_{ 420 }(419, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 293, ·)\)
\(\chi_{ 420 }(293, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 251, ·)\)
\(\chi_{ 420 }(169, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 43, ·)\)
\(\chi_{ 420 }(43, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 1, ·)\)
\(\chi_{ 420 }(239, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 113, ·)\)
\(\chi_{ 420 }(113, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 71, ·)\)
\(\chi_{ 420 }(307, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 349, ·)\)
\(\chi_{ 420 }(181, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 307, ·)\)
\(\chi_{ 420 }(377, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 419, ·)\)
\(\chi_{ 420 }(251, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 377, ·)\)
\(\chi_{ 420 }(127, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 169, ·)\)